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13020384 = 2531310433
BaseRepresentation
bin110001101010…
…110011100000
3220111111121110
4301222303200
511313123014
61143023320
7215446206
oct61526340
926444543
1013020384
117393453
12443ab40
13290b590
141a2d076
151222d59
hexc6ace0

13020384 has 48 divisors (see below), whose sum is σ = 36811152. Its totient is φ = 4005888.

The previous prime is 13020383. The next prime is 13020431. The reversal of 13020384 is 48302031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13020384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3969 + ... + 6464.

It is an arithmetic number, because the mean of its divisors is an integer number (766899).

Almost surely, 213020384 is an apocalyptic number.

It is an amenable number.

13020384 is an abundant number, since it is smaller than the sum of its proper divisors (23790768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13020384 is a wasteful number, since it uses less digits than its factorization.

13020384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10459 (or 10451 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13020384 is about 3608.3769204450. The cubic root of 13020384 is about 235.2563010205.

The spelling of 13020384 in words is "thirteen million, twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 10433 20866 31299 41732 62598 83464 125196 135629 166928 250392 271258 333856 406887 500784 542516 813774 1001568 1085032 1627548 2170064 3255096 4340128 6510192 13020384